Critical behavior of 3D SU(2) gauge theory at finite temperature: exact results from universality
arXiv:hep-lat/9806017 · doi:10.1103/PhysRevD.58.114502
Abstract
We show that universality arguments, namely the Svetitsky-Yaffe conjecture, allow one to obtain exact results on the critical behavior of 3D SU(2) gauge theory at the finite temperature deconfinement transition,through a mapping into the 2D Ising model. In particular, we consider the finite-size scaling behavior of the plaquette operator, which can be mapped into the energy operator of the 2D Ising model. We obtain exact predictions for the dependence of the plaquette expectation value on the size and shape of the lattice and we compare them to Monte Carlo results, finding complete agreement. We discuss the application of this method to the computation of more general correlators of the plaquette operator at criticality, and its relevance to the study of the color flux tube structure.
arXiv comment10 pages, LaTeX file + 3 eps figures
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- Effective potential for Polyakov loops from a center symmetric effective theory in three dimensions
- Finite-size scaling and deconfinement transition: the case of 4D SU(2) pure gauge theory
- Finite-size scaling and the deconfinement transition in gauge theories
- Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills